is it correct to say, that rust was created to create servo
It seems this was a personal itch that Mozilla's developer Graydon Hoare wanted to scratch and then Mozilla saw potentional and started sponsoring it for Servo.
https://www.technologyreview.com/2023/02/14/1067869/rust-wor...
So Rust as we know it today was definitely made for browser development at Mozilla. But that means both Firefox and Servo, not just Servo.